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Finding the Fourth Proportional to 358,921.97, 537,874.98 and 199,068.27

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Solution

The fourth proportional to 358,921.97, 537,874.98 and 199,068.27 is: 298,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,921.97 : 537,874.98 = 199,068.27 : x
  2. Step 2: Convert to fraction form
    358,921.97/537,874.98 = 199,068.27/x
  3. Step 3: Cross multiply
    358,921.97x = 537,874.98 × 199,068.27
  4. Step 4: Simplify right side
    358,921.97x = 107,073,841,744.89
  5. Step 5: Solve for x
    x = 107,073,841,744.89/358,921.97
  6. Step 6: Final answer
    x = 298,320.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.